Low level viral persistence after infection with LCMV: A quantitative insight through numerical bifurcation analysis

DOI10.1016/S0025-5564(01)00072-4zbMath0988.92014WikidataQ43750521 ScholiaQ43750521MaRDI QIDQ5956017

Gennadii A. Bocharov, Stephan Ehl, Koen Engelborghs, Tatyana Luzyanina, Paul Klenerman

Publication date: 2 July 2002

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

delay differential equationsantiviral cytotoxic T lumphocyte responselymphocytic choriomeningitis virusviral persistencevirus replication rate

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (13)

Optimal perturbations of systems with delayed independent variables for control of dynamics of infectious diseases based on multicomponent actions ⋮ Modelling the dynamics of LCMV infection in mice. II: Compartmental structure and immunopathology ⋮ Lie group classification of first-order delay ordinary differential equations ⋮ Maximum response perturbation-based control of virus infection model with time-delays ⋮ Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viral infections ⋮ Modeling regulation mechanisms in the immune system ⋮ Evolutionary game theoretic strategy for optimal drug delivery to influence selection pressure in treatment of HIV-1 ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Analysis of stability and Hopf bifurcation for a viral infectious model with delay ⋮ Post-transplantation dynamics of the immune response to chronic myelogenous leukemia ⋮ Stability and bifurcation analysis in a viral model with delay ⋮ Numerical bifurcation analysis of immunological models with time delays ⋮ Application of minimum description length criterion to assess the complexity of models in mathematical immunology

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
• Immune Responses and Viral Phenotype: Do Replication Rate and Cytopathogenicity Influence Virus Load?
• On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations

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